Results 81 to 90 of about 2,587,264 (278)
Cusp forms of weight 3/2 [PDF]
Nagoya Mathematical Journal, 1980 In this paper we deal with the problem (C) in § 4 of [4]. Let Ik be the Shimura mapping in [4] of Sk(4N, χ) into k-1(N′ χ2) (see p. 458). The problem (C) can be stated as follows: I3(f) is a cusp form if and only if ‹f, h› = 0 for all h ∈ U, where U is the vector space spanned by every theta series of S3(4N, χ) associated with some Dirichlet character.
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objectives Focal cortical dysplasia (FCD) is the most common etiology of drug‐resistant epilepsy in children. Focal to bilateral tonic–clonic seizures (FBTCS) mark a high risk of drug‐resistant epilepsy and involve thalamocortical circuitry in their generation and propagation.
Hua Xie +8 more
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Arthritis Care &Research, EarlyView.Objective Systemic lupus erythematosus (SLE) significantly impacts employment capacity. This study aimed to investigate the impact of burden of disease activity, damage, and treatment on employment outcomes and transitions in patients with SLE. Methods Using data from a single center, we analyzed employment transitions, adjusted mean disease activity ...
Javier Mencia‐Ledo +4 more
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Co-existing Dental Anomalies - Talon Cusp and Supernumerary Tooth - A Case Report
Journal of Indian Academy of Oral Medicine and Radiology, 2004 Supernumerary tooth is a common dental anomaly present in both maxilla and mandible. It may manifest as an isolated dental anomaly or as a feature of a syndrome. Talon cusp is another dental anomaly and presents as an accessory cusp in both deciduous and
Elizabeth Joshua +4 more
doaj
What Do Large Language Models Know About Materials?
Advanced Engineering Materials, EarlyView.If large language models (LLMs) are to be used inside the material discovery and engineering process, they must be benchmarked for the accurateness of intrinsic material knowledge. The current work introduces 1) a reasoning process through the processing–structure–property–performance chain and 2) a tool for benchmarking knowledge of LLMs concerning ...
Adrian Ehrenhofer +2 more
wiley +1 more source
Title Maass cusp forms and "two-sided L-functions"
, 2008 Introduction Motivation 2 Mass forms Multiplier systems Maass cusp forms with real weight Special functions # k,# ; Fourier expansion of Maass cusp forms 3 D-functions Sketch of Proof: Maass cusp forms 4 Period functions What are period functions
Maass Cusp Forms +3 more
core
Advanced Engineering Materials, EarlyView.This article presents the NFDI‐MatWerk Ontology (MWO), a Basic Formal Ontology‐based framework for interoperable research data management in materials science and engineering (MSE). Covering consortium structures, research data management resources, services, and instruments, MWO enables semantic integration, Findable, Accessible, Interoperable, and ...
Hossein Beygi Nasrabadi +4 more
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Advanced Engineering Materials, EarlyView.Building machine‐readable vocabularies for materials science is slow, expert‐driven work. This study benchmarks 13 large language models on two of its first steps: finding candidate terms in engineering articles and deciding where they belong in a class hierarchy.
Thomas Bjarsch +3 more
wiley +1 more source
On the lifting of elliptic cusp forms to cusp forms on quaternionic unitary groups
Journal of Number Theory, 2010 Let \(H\) be a definite quaternion algebra over \({\mathbb Q}\) with discriminant \(D_H\) and \(R\) a maximal order of \(H\). Let \(G_n\) be a quaternionic unitary group and \(\Gamma_n=G_n({\mathbb Q})\cap \text{GL}_{2n}(R)\). Let \(S_k(\Gamma_n)\) be the space of cusp forms of weight \(k\) with respect to \(\Gamma_n \) on the quaternion half-space of ...
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Secord-order cusp forms and mixed mock modular forms [PDF]
, 2013 In this paper, we consider the space of second order cusp forms. We determine that this space is precisely the same as a certain subspace of mixed mock modular forms. Based upon Poincaré series of Diamantis and O'Sullivan (Trans. Am. Math. Soc.
Bringmann, K +3 more
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